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We present a self-stabilizing algorithm for the (asynchronous) unison problem which achieves an efficient trade-off between time, workload, and space in a weak model. Precisely, our algorithm is defined in the atomic-state model and works…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-04 Stéphane Devismes , David Ilcinkas , Colette Johnen , Frédéric Mazoit

Distributed fault-tolerance can mask the effect of a limited number of permanent faults, while self-stabilization provides forward recovery after an arbitrary number of transient fault hit the system. FTSS protocols combine the best of both…

Data Structures and Algorithms · Computer Science 2011-02-11 Swan Dubois , Maria Potop-Butucaru , Sébastien Tixeuil

We consider the problem of clock synchronization in a wireless setting where processors must power-down their radios in order to save energy. Energy efficiency is a central goal in wireless networks, especially if energy resources are…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-17 Leonid Barenboim , Shlomi Dolev , Rafail Ostrovsky

Molecular communication is set to play an important role in the design of complex biological and chemical systems. An important class of molecular communication systems is based on the timing channel, where information is encoded in the…

Information Theory · Computer Science 2014-10-22 Malcolm Egan , Yansha Deng , Maged Elkashlan , Trung Q. Duong

Under the assumption $\mathcal{P} \neq \mathcal{NP}$, we prove that two natural problems from the theory of synchronizing automata cannot be solved in polynomial time. The first problem is to decide whether a given reachable partial…

Formal Languages and Automata Theory · Computer Science 2018-03-26 Mikhail V. Berlinkov

In the load balancing problem, each node in a network is assigned a load, and the goal is to equally distribute the loads among the nodes, by preforming local load exchanges. While load balancing was extensively studied in static networks,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-28 Seth Gilbert , Uri Meir , Ami Paz , Gregory Schwartzman

Clock synchronization is critically important in positioning, navigation and timing systems. While its performance has been intensively studied in a wide range of disciplines, much less is known for the fundamental thermodynamics of clock…

Quantum Physics · Physics 2023-09-06 Cheng Yang , Jiteng Sheng , Haibin Wu

We present a loosely-stabilizing phase clock for population protocols. In the population model we are given a system of $n$ identical agents which interact in a sequence of randomly chosen pairs. Our phase clock is leaderless and it…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-03 Petra Berenbrink , Felix Biermeier , Christopher Hahn , Dominik Kaaser

We study the stabilization of networked control systems with asynchronous sensors and controllers. Offsets between the sensor and controller clocks are unknown and modeled as parametric uncertainty. First we consider multi-input linear…

Systems and Control · Computer Science 2017-03-02 Masashi Wakaiki , Kunihisa Okano , Joao P. Hespanha

Synchronisation and pattern formation have been intensely addressed for systems evolving on static networks. Extending the study to include the inherent ability of the network to adjust over time proved cumbersome and led to conclusions…

Statistical Mechanics · Physics 2022-05-25 Timoteo Carletti , Duccio Fanelli

The proliferation of wireless communications networks over the past decades, combined with the scarcity of the wireless spectrum, have motivated a significant effort towards increasing the throughput of wireless networks. One of the major…

Signal Processing · Electrical Eng. & Systems 2022-06-27 Emeka Abakasanga , Nir Shlezinger , Ron Dabora

Being fundamentally a non-equilibrium process, synchronization comes with unavoidable energy costs and has to be maintained under the constraint of limited resources. Such resource constraints are often reflected as a finite coupling budget…

Adaptation and Self-Organizing Systems · Physics 2021-06-02 Yuanzhao Zhang , Steven H. Strogatz

Synchrony is one of the most common dynamical states emerging on networks. The speed of convergence towards synchrony provides a fundamental collective time scale for synchronizing systems. Here we study the asymptotic synchronization times…

Disordered Systems and Neural Networks · Physics 2015-06-30 Carsten Grabow , Stefan Grosskinsky , Marc Timme

Clock synchronization for nonfaulty processes in multiprocess networks is indispensable for a variety of technologies. A reliable system must be able to resynchronize the nonfaulty processes upon some components failing causing the…

Quantum Physics · Physics 2015-01-27 Armin Tavakoli , Adán Cabello , Marek Żukowski , Mohamed Bourennane

We consider the model of communication where wireless devices can either switch their radios off to save energy, or switch their radios on and engage in communication. We distill a clean theoretical formulation of this problem of minimizing…

Data Structures and Algorithms · Computer Science 2012-02-15 Milan Bradonjic , Eddie Kohler , Rafail Ostrovsky

The clock synchronization problem is to determine the time difference $\Delta$ between two spatially separated clocks. When message delivery times between the two clocks are uncertain, $O(2^{2n})$ classical messages must be exchanged…

Quantum Physics · Physics 2009-11-06 Isaac Chuang

We revisit the approach to Byzantine fault-tolerant clock synchronization based on approximate agreement introduced by Lynch and Welch. Our contribution is threefold: (1) We provide a slightly refined variant of the algorithm yielding…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-09-30 Pankaj Khanchandani , Christoph Lenzen

The current algorithms are based on linear model, for example, Precision Time Protocol (PTP) which requires frequent synchronization in order to handle the effects of clock frequency drift. This paper introduces a nonlinear approach to…

Machine Learning · Computer Science 2019-03-05 Frank Wang , Danjue Li

We introduce logical synchrony, a framework that allows distributed computing to be coordinated as tightly as in synchronous systems without the distribution of a global clock or any reference to universal time. We develop a model of events…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-08 Sanjay Lall , Calin Cascaval , Martin Izzard , Tammo Spalink

Neural networks can synchronize by learning from each other. In the case of discrete weights full synchronization is achieved in a finite number of steps. Additional networks can be trained by using the inputs and outputs generated during…

Disordered Systems and Neural Networks · Physics 2007-11-16 Andreas Ruttor